Factorization of J-expansive meromorphic operator-valued functions
The factorization theorems are a generalization for J-biexpansive meromorphic operator-valued functions on an infinite-dimensional Hilbert space of the theorems on decomposition of J-expansive matrix functions on a finite-dimensional Hilbert space due to A. V. Efimov and V. P. Potapov [Uspekhi Mat....
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi |
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paperaa:paper_01968858_v2_n1_p13_Gnavi2023-06-12T16:47:07Z Factorization of J-expansive meromorphic operator-valued functions Adv. Appl. Math. 1981;2(1):13-23 Gnavi, G. The factorization theorems are a generalization for J-biexpansive meromorphic operator-valued functions on an infinite-dimensional Hilbert space of the theorems on decomposition of J-expansive matrix functions on a finite-dimensional Hilbert space due to A. V. Efimov and V. P. Potapov [Uspekhi Mat. Nauk 28 (1973), 65-130; Trudy Moskov. Mat. Obšč. 4 (1955), 125-236]. They also generalize theorems on factorization of J-expansive meromorphic operator functions due to Ju. P. Ginzburg [Izv. Vysš. Učebn. Zaved. Matematika 32 (1963), 45-53]. Within the framework of generalized network theory, the results can be applied to the J-biexpansive real operators that characterize a Hilbert port. Application of the extraction procedure to a given real operator leads to its splitting into a product of real factors, corresponding to Hilbert ports of a simpler structure. This can be interpreted as an extension of the classical method of synthesis of passive n-ports by factor decomposition. © 1981. Fil:Gnavi, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1981 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
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Inglés |
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eng |
| description |
The factorization theorems are a generalization for J-biexpansive meromorphic operator-valued functions on an infinite-dimensional Hilbert space of the theorems on decomposition of J-expansive matrix functions on a finite-dimensional Hilbert space due to A. V. Efimov and V. P. Potapov [Uspekhi Mat. Nauk 28 (1973), 65-130; Trudy Moskov. Mat. Obšč. 4 (1955), 125-236]. They also generalize theorems on factorization of J-expansive meromorphic operator functions due to Ju. P. Ginzburg [Izv. Vysš. Učebn. Zaved. Matematika 32 (1963), 45-53]. Within the framework of generalized network theory, the results can be applied to the J-biexpansive real operators that characterize a Hilbert port. Application of the extraction procedure to a given real operator leads to its splitting into a product of real factors, corresponding to Hilbert ports of a simpler structure. This can be interpreted as an extension of the classical method of synthesis of passive n-ports by factor decomposition. © 1981. |
| format |
Artículo Artículo publishedVersion |
| author |
Gnavi, G. |
| spellingShingle |
Gnavi, G. Factorization of J-expansive meromorphic operator-valued functions |
| author_facet |
Gnavi, G. |
| author_sort |
Gnavi, G. |
| title |
Factorization of J-expansive meromorphic operator-valued functions |
| title_short |
Factorization of J-expansive meromorphic operator-valued functions |
| title_full |
Factorization of J-expansive meromorphic operator-valued functions |
| title_fullStr |
Factorization of J-expansive meromorphic operator-valued functions |
| title_full_unstemmed |
Factorization of J-expansive meromorphic operator-valued functions |
| title_sort |
factorization of j-expansive meromorphic operator-valued functions |
| publishDate |
1981 |
| url |
http://hdl.handle.net/20.500.12110/paper_01968858_v2_n1_p13_Gnavi |
| work_keys_str_mv |
AT gnavig factorizationofjexpansivemeromorphicoperatorvaluedfunctions |
| _version_ |
1769810286304296960 |